A284051 - cp's OEIS frontend

A284051 a(n) = A240751(n) mod n, where A240751(n) = the smallest k such that in the prime power factorization of k! there exists at least one exponent n.

n	a(n)
1	0
2	0
3	1
4	2
5	2
6	3
7	1
8	2
9	3
10	2
11	3
12	2
13	1
14	2
15	1
16	2
17	2
18	2
19	3
20	5
21	3
22	2
23	3
24	4
25	3
26	4
27	3
28	4
29	8
30	3
31	1
32	2
33	3
34	2
35	3
36	6
37	2
38	2
39	3
40	1
41	3
42	4
43	3
44	2
45	3
46	2
47	3
48	3
49	3
50	4
51	6
52	7
53	3
54	4
55	4
56	4
57	5
58	4
59	5
60	4
61	4
62	5
63	1
64	2
65	5
66	2
67	3
68	5
69	4
70	2
71	3
72	6
73	3
74	4
75	6
76	7
77	7
78	2
79	3
80	2
81	3
82	4
83	8
84	3
85	3
86	4
87	7

[0, 0, 1, 2, 2, 3, 1, 2, 3, 2, 3, 2, 1, 2, 1, 2, 2, 2, 3, 5, 3, 2, 3, 4, 3, 4, 3, 4, 8, 3, 1, 2, 3, 2, 3, 6, 2, 2, 3, 1, 3, 4, 3, 2, 3, 2, 3, 3, 3, 4, 6, 7, 3, 4, 4, 4, 5, 4, 5, 4, 4, 5, 1, 2, 5, 2, 3, 5, 4, 2, 3, 6, 3, 4, 6, 7, 7, 2, 3, 2, 3, 4, 8, 3, 3, 4, 7]

cp's OEIS Frontend

A284051 a(n) = A240751(n) mod n, where A240751(n) = the smallest k such that in the prime power factorization of k! there exists at least one exponent n.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	2
5	2
6	3
7	1
8	2
9	3
10	2
11	3
12	2
13	1
14	2
15	1
16	2
17	2
18	2
19	3
20	5
21	3
22	2
23	3
24	4
25	3
26	4
27	3
28	4
29	8
30	3
31	1
32	2
33	3
34	2
35	3
36	6
37	2
38	2
39	3
40	1
41	3
42	4
43	3
44	2
45	3
46	2
47	3
48	3
49	3
50	4
51	6
52	7
53	3
54	4
55	4
56	4
57	5
58	4
59	5
60	4
61	4
62	5
63	1
64	2
65	5
66	2
67	3
68	5
69	4
70	2
71	3
72	6
73	3
74	4
75	6
76	7
77	7
78	2
79	3
80	2
81	3
82	4
83	8
84	3
85	3
86	4
87	7

n	a(n)
1	0
2	0
3	1
4	2
5	2
6	3
7	1
8	2
9	3
10	2
11	3
12	2
13	1
14	2
15	1
16	2
17	2
18	2
19	3
20	5
21	3
22	2
23	3
24	4
25	3
26	4
27	3
28	4
29	8
30	3
31	1
32	2
33	3
34	2
35	3
36	6
37	2
38	2
39	3
40	1
41	3
42	4
43	3
44	2
45	3
46	2
47	3
48	3
49	3
50	4
51	6
52	7
53	3
54	4
55	4
56	4
57	5
58	4
59	5
60	4
61	4
62	5
63	1
64	2
65	5
66	2
67	3
68	5
69	4
70	2
71	3
72	6
73	3
74	4
75	6
76	7
77	7
78	2
79	3
80	2
81	3
82	4
83	8
84	3
85	3
86	4
87	7

n	a(n)
1	0
2	0
3	1
4	2
5	2
6	3
7	1
8	2
9	3
10	2
11	3
12	2
13	1
14	2
15	1
16	2
17	2
18	2
19	3
20	5
21	3
22	2
23	3
24	4
25	3
26	4
27	3
28	4
29	8
30	3
31	1
32	2
33	3
34	2
35	3
36	6
37	2
38	2
39	3
40	1
41	3
42	4
43	3
44	2
45	3
46	2
47	3
48	3
49	3
50	4
51	6
52	7
53	3
54	4
55	4
56	4
57	5
58	4
59	5
60	4
61	4
62	5
63	1
64	2
65	5
66	2
67	3
68	5
69	4
70	2
71	3
72	6
73	3
74	4
75	6
76	7
77	7
78	2
79	3
80	2
81	3
82	4
83	8
84	3
85	3
86	4
87	7